91Ó°ÊÓ

The given graph is

Need to determine whether the graph is that of a function by using the vertical-line test.

The graph in the above figure is a function because there is a vertical line that intersects the graph at only one point.

When the graph of a function is given, its domain may be viewed as the shadow created by the graph on the x-axis by vertical beams of light. Its range can be viewed as the shadow created by the graph on the y-axis by horizontal beams of light.

The domain of the function is $\left\{x\overline{)-\mathrm{π}≤\mathrm{x}≤\mathrm{π}}\right\}$.

The range of the function is $\left\{y\overline{)-1≤y≤1}\right\}$.

The intercepts are $\left(-\frac{\mathrm{Ï€}}{2},0\right),\left(0,1\right),and\left(\frac{\mathrm{Ï€}}{2},0\right)$.

The graph is symmetric with respect to the y-axis as the part of the graph to the right of the y-axis is a reflection of the part to the left of it, and vice versa.